Mathematical Physics (Physics)
- The predictive content of Spectral Causal Theory
We catalog the predictions of Spectral Causal Theory (SCT), a one-loop gravitational effective field theory derived from the spectral action \(S = \operatorname{Tr}(f(D^2/\Lambda^2))\) of a noncommutative spectral triple encoding the Standa…
- Non-perturbative spectral gravity measure in the Hilbert-Schmidt Gaussian completion: pro-torsor structure and the obstruction to canonical expectations
We construct rigorous non-perturbative sectorial measures for the spectral action on Dirac operators with compact resolvent within the Hilbert-Schmidt Gaussian completion framework and classify the global obstruction to assembling them into…